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Assertion (A): A linear, negative feedback control system is invariable stable if its open loop configuration is stable
Reason (R): the negative feedback reduces the overall gain of the feedback.
Reason (R): the negative feedback reduces the overall gain of the feedback.
- a)Both A and R are true and R is correct explanation of A
- b)Both A and R are true and R is not correct Explanation of A
- c)A is True and R is false
- d)A is False and R is true
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Assertion (A): A linear, negative feedback control system is invariabl...
Explanation: A linear, negative feedback control system is not necessarily stable if its open loop configuration is stable.
Most Upvoted Answer
Assertion (A): A linear, negative feedback control system is invariabl...
A linear, negative feedback control system is invariable stable if its open loop configuration is stable.
Explanation:
Assertion (A): A linear, negative feedback control system is invariably stable if its open loop configuration is stable.
This means that if a linear, negative feedback control system has a stable open loop configuration, it will always be stable.
Reason (R): The negative feedback reduces the overall gain of the feedback.
This means that the negative feedback in the control system reduces the overall gain, which helps in stabilizing the system.
To determine the correctness of the assertion and the reason, let's analyze each statement separately.
Analysis of Assertion (A):
A linear, negative feedback control system is invariably stable if its open loop configuration is stable.
In a negative feedback control system, the output of the system is fed back and subtracted from the input to produce an error signal, which is used to adjust the system's behavior. This negative feedback helps in stabilizing the system by reducing errors and maintaining stability.
If the open loop configuration of the system is stable, it means that the system without feedback is stable. In this case, the negative feedback further stabilizes the system by reducing errors and maintaining stability.
Therefore, the assertion (A) is true.
Analysis of Reason (R):
The negative feedback reduces the overall gain of the feedback.
In a control system, the overall gain is the product of the gains of all the components in the system. When negative feedback is applied, it reduces the overall gain of the system.
By reducing the overall gain, negative feedback helps in stabilizing the system. It prevents the system from becoming too sensitive to disturbances or noise, which can cause instability.
Therefore, the reason (R) is also true.
Conclusion:
Both the assertion (A) and the reason (R) are true. The reason (R) provides a correct explanation of the assertion (A).
In summary, a linear, negative feedback control system is invariably stable if its open loop configuration is stable. The negative feedback reduces the overall gain of the feedback, which helps in stabilizing the system.
Explanation:
Assertion (A): A linear, negative feedback control system is invariably stable if its open loop configuration is stable.
This means that if a linear, negative feedback control system has a stable open loop configuration, it will always be stable.
Reason (R): The negative feedback reduces the overall gain of the feedback.
This means that the negative feedback in the control system reduces the overall gain, which helps in stabilizing the system.
To determine the correctness of the assertion and the reason, let's analyze each statement separately.
Analysis of Assertion (A):
A linear, negative feedback control system is invariably stable if its open loop configuration is stable.
In a negative feedback control system, the output of the system is fed back and subtracted from the input to produce an error signal, which is used to adjust the system's behavior. This negative feedback helps in stabilizing the system by reducing errors and maintaining stability.
If the open loop configuration of the system is stable, it means that the system without feedback is stable. In this case, the negative feedback further stabilizes the system by reducing errors and maintaining stability.
Therefore, the assertion (A) is true.
Analysis of Reason (R):
The negative feedback reduces the overall gain of the feedback.
In a control system, the overall gain is the product of the gains of all the components in the system. When negative feedback is applied, it reduces the overall gain of the system.
By reducing the overall gain, negative feedback helps in stabilizing the system. It prevents the system from becoming too sensitive to disturbances or noise, which can cause instability.
Therefore, the reason (R) is also true.
Conclusion:
Both the assertion (A) and the reason (R) are true. The reason (R) provides a correct explanation of the assertion (A).
In summary, a linear, negative feedback control system is invariably stable if its open loop configuration is stable. The negative feedback reduces the overall gain of the feedback, which helps in stabilizing the system.
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Assertion (A): A linear, negative feedback control system is invariable stable if its open loop configuration is stableReason (R): the negative feedback reduces the overall gain of the feedback.a)Both A and R are true and R is correct explanation of Ab)Both A and R are true and R is not correct Explanation of Ac)A is True and R is falsed)A is False and R is trueCorrect answer is option 'D'. Can you explain this answer?
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